×

zbMATH — the first resource for mathematics

An example of Kaluza-Klein-like theory with boundary conditions, which lead to massless and mass protected spinors chirally coupled to gauge fields. (English) Zbl 1247.83182
Summary: The genuine Kaluza-Klein-like theories (with no fields in addition to gravity) have difficulties with the existence of massless spinors after the compactification of some of dimensions of space [E. Witten, Nucl. Phys. B 186, No. 3, 412–428 (1981); Princeton Technical Rep. PRINT-83-1056, October 1983]. We assume a \(M(1+3)\times \) a flat finite disk in (1+5)-dimensional space, with the boundary allowing spinors of only one handedness. Massless spinors then chirally couple to the corresponding background gauge gravitational field, which solves equations of motion for a free field, linear in the Riemann curvature.

MSC:
83E15 Kaluza-Klein and other higher-dimensional theories
83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
81T13 Yang-Mills and other gauge theories in quantum field theory
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] E. Witten, Princeton Technical Rep. PRINT-83-1056, October 1983
[2] Salam, A.; Sezgin, E., Phys. lett. B, 147, 47, (1984)
[3] Nielsen, H.B.; Froggat, C., Origin of symmetries, ISBN: 9971-96-631-X, (1991), World Scientific
[4] Borštnik Bračič, A.; Mankoč Borštnik, N.S.; Borštnik Bračič, A.; Mankoč Borštnik, N.S., p. 31
[5] Mankoč Borštnik, N.S.; Mankoč Borštnik, N.S.; Mankoč Borštnik, N.S.; Mankoč Borštnik, N.S., Int. J. mod. phys. A, Int. J. theor. phys., Phys. lett. B, J. math. phys., 34, 3731, (1993), and references therein · Zbl 0819.22015
[6] Hořawa, P.; Witten, E., Nucl. phys. B, 460, 506, (1966)
[7] Kawamura, Y., Prog. theor. phys., 103, 613, (2000)
[8] Hebecker, A.; March-Russell, J.
[9] Asaka, T.; Buchmüller, W., Phys. lett. B, 523, 199, (2001)
[10] Mankoč Borštnik, N.S.; Nielsen, H.B.; Mankoč Borštnik, N.S.; Nielsen, H.B., J. math. phys., J. math. phys., 44, 4817, (2003)
[11] Manton, N.S.; Chapline, G.; Manton, N.S., Nucl. phys. B, Nucl. phys. B, 184, 391, (1981)
[12] Mankoč Borštnik, N.S.; Nielsen, H.B.
[13] N.S. Mankoč Borštnik, H.B. Nielsen, D. Lukman, in preparation
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.